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Finding the Fourth Proportional to 11,398.34, 17,097.19 and 6,214.34

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Solution

The fourth proportional to 11,398.34, 17,097.19 and 6,214.34 is: 9,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.34 : 17,097.19 = 6,214.34 : x
  2. Step 2: Convert to fraction form
    11,398.34/17,097.19 = 6,214.34/x
  3. Step 3: Cross multiply
    11,398.34x = 17,097.19 × 6,214.34
  4. Step 4: Simplify right side
    11,398.34x = 106,247,751.70
  5. Step 5: Solve for x
    x = 106,247,751.70/11,398.34
  6. Step 6: Final answer
    x = 9,321.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.